The data for this graph was taken from the college students at Monroe Community
ID: 3179639 • Letter: T
Question
The data for this graph was taken from the college students at Monroe Community College in Rochester NY.
6a. Looking at the regression equation, what is the slope and what does it mean in this example?
6b. What is the y-intercept? What does it represent in this example? Is it meaningful?
6c Interpret what the R – Sq means in this example AND find the linear correlation coefficient r?
6d. Given a person’s height is 163 cm, determine the predicted arm span. If you can’t answer this question, please give a reason why.
6e. Given a person’s height is 190 cm, determine the predicted arm span. If you can’t answer this question, please give a reason why.
6f. True or false? This scatter diagram proves that as a person’s height increases, their arm span will also increase. Please give a reason for your answer.
6g. Someone at Brockport College would like you to predict the arm spam of someone who is 153 cm tall. If you can’t predict the arm span, please give a reason why you can’t.
Arm Span vs Height pain (c Height (cm) eight ccm)Explanation / Answer
Result:
The data for this graph was taken from the college students at Monroe Community College in Rochester NY.
6a. Looking at the regression equation, what is the slope and what does it mean in this example?
Slope=0.9983.
When height increases by 1 cm, Arm span increases by 0.9983 cm.
6b. What is the y-intercept? What does it represent in this example? Is it meaningful?
y-intercept =4.033.
When height is 0 cm, Arm span is 4.033 cm.
It is not meaningful.
6c Interpret what the R – Sq means in this example AND find the linear correlation coefficient r?
R square = 94.3%
94.3% of variance in arm span is explained by the regression model.
linear correlation coefficient r = sqrt(0.943) =0.971082
6d. Given a person’s height is 163 cm, determine the predicted arm span. If you can’t answer this question, please give a reason why.
When Height=163,
Predicted arm span = 4.033+0.9983*163 = 166.7559
6e. Given a person’s height is 190 cm, determine the predicted arm span. If you can’t answer this question, please give a reason why.
190cm is outside the range of x values, it is not proper to predict arm span.
6f. True or false? This scatter diagram proves that as a person’s height increases, their arm span will also increase. Please give a reason for your answer.
True. The points are formed left down to right up .
6g. Someone at Brockport College would like you to predict the arm spam of someone who is 153 cm tall. If you can’t predict the arm span, please give a reason why you can’t.
When Height=153,
Predicted arm span = 4.033+0.9983*153 = 156.7729
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